TSTP Solution File: LCL205-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:22:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 113 ( 24 unt; 0 def)
% Number of atoms : 209 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 176 ( 80 ~; 79 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 18 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(avatar_smt_refutation,[],[f21,f44,f51,f56,f61,f68,f73,f108,f133,f140,f171,f193,f207,f463,f469,f475,f480,f484]) ).
fof(f484,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f474,f119]) ).
fof(f119,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(forward_literal_rewriting,[],[f112,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f24,f16]) ).
fof(f16,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',implies_definition) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',rule_2) ).
fof(f24,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',rule_1) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',axiom_1_4) ).
fof(f112,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f91,f22]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',axiom_1_3) ).
fof(f91,plain,
! [X3,X4] :
( ~ theorem(or(X3,or(X4,X4)))
| theorem(or(X3,X4)) ),
inference(resolution,[],[f88,f23]) ).
fof(f23,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f12,f7]) ).
fof(f12,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',axiom_1_2) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f85,f16]) ).
fof(f85,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f84,f16]) ).
fof(f84,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',axiom_1_6) ).
fof(f474,plain,
( ~ theorem(or(q,not(q)))
| spl0_16 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl0_16
<=> theorem(or(q,not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f480,plain,
( ~ spl0_17
| spl0_13 ),
inference(avatar_split_clause,[],[f450,f204,f477]) ).
fof(f477,plain,
( spl0_17
<=> theorem(or(not(p),not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f204,plain,
( spl0_13
<=> theorem(or(not(p),or(not(p),not(q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f450,plain,
( ~ theorem(or(not(p),not(p)))
| spl0_13 ),
inference(resolution,[],[f397,f206]) ).
fof(f206,plain,
( ~ theorem(or(not(p),or(not(p),not(q))))
| spl0_13 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f397,plain,
! [X26,X24,X25] :
( theorem(or(X24,or(X25,X26)))
| ~ theorem(or(X24,X25)) ),
inference(resolution,[],[f92,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f88,f22]) ).
fof(f92,plain,
! [X6,X7,X5] :
( ~ theorem(or(X5,or(X7,X6)))
| theorem(or(X5,or(X6,X7))) ),
inference(resolution,[],[f88,f24]) ).
fof(f475,plain,
( ~ spl0_16
| spl0_11 ),
inference(avatar_split_clause,[],[f470,f168,f472]) ).
fof(f168,plain,
( spl0_11
<=> theorem(or(not(q),or(q,not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f470,plain,
( ~ theorem(or(q,not(q)))
| spl0_11 ),
inference(forward_literal_rewriting,[],[f449,f29]) ).
fof(f449,plain,
( ~ theorem(or(not(q),q))
| spl0_11 ),
inference(resolution,[],[f397,f170]) ).
fof(f170,plain,
( ~ theorem(or(not(q),or(q,not(p))))
| spl0_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f469,plain,
( ~ spl0_15
| spl0_1 ),
inference(avatar_split_clause,[],[f464,f18,f466]) ).
fof(f466,plain,
( spl0_15
<=> theorem(or(not(p),not(not(or(not(p),q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f18,plain,
( spl0_1
<=> theorem(or(not(not(or(not(p),q))),or(not(p),not(q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f464,plain,
( ~ theorem(or(not(p),not(not(or(not(p),q)))))
| spl0_1 ),
inference(forward_literal_rewriting,[],[f448,f29]) ).
fof(f448,plain,
( ~ theorem(or(not(not(or(not(p),q))),not(p)))
| spl0_1 ),
inference(resolution,[],[f397,f20]) ).
fof(f20,plain,
( ~ theorem(or(not(not(or(not(p),q))),or(not(p),not(q))))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f463,plain,
( ~ spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f458,f190,f460]) ).
fof(f460,plain,
( spl0_14
<=> theorem(or(q,or(not(p),not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f190,plain,
( spl0_12
<=> theorem(or(or(q,not(p)),or(not(p),not(q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f458,plain,
( ~ theorem(or(q,or(not(p),not(p))))
| spl0_12 ),
inference(forward_literal_rewriting,[],[f457,f230]) ).
fof(f230,plain,
! [X28,X26,X27] :
( ~ theorem(or(X27,or(X26,X28)))
| theorem(or(X26,or(X27,X28))) ),
inference(forward_literal_rewriting,[],[f225,f123]) ).
fof(f123,plain,
! [X2] :
( theorem(not(not(X2)))
| ~ theorem(X2) ),
inference(resolution,[],[f119,f16]) ).
fof(f225,plain,
! [X28,X26,X27] :
( theorem(or(X26,or(X27,X28)))
| ~ theorem(not(not(or(X27,or(X26,X28))))) ),
inference(resolution,[],[f179,f81]) ).
fof(f81,plain,
! [X2,X0,X1] : theorem(or(or(X1,or(X0,X2)),not(or(X0,or(X1,X2))))),
inference(forward_literal_rewriting,[],[f80,f29]) ).
fof(f80,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',axiom_1_5) ).
fof(f179,plain,
! [X3,X4] :
( ~ theorem(or(X3,X4))
| theorem(X3)
| ~ theorem(not(X4)) ),
inference(resolution,[],[f164,f16]) ).
fof(f164,plain,
! [X10,X9] :
( theorem(or(not(not(X10)),X9))
| ~ theorem(or(X9,X10)) ),
inference(resolution,[],[f122,f29]) ).
fof(f122,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f119,f88]) ).
fof(f457,plain,
( ~ theorem(or(not(p),or(q,not(p))))
| spl0_12 ),
inference(forward_literal_rewriting,[],[f447,f29]) ).
fof(f447,plain,
( ~ theorem(or(or(q,not(p)),not(p)))
| spl0_12 ),
inference(resolution,[],[f397,f192]) ).
fof(f192,plain,
( ~ theorem(or(or(q,not(p)),or(not(p),not(q))))
| spl0_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f207,plain,
( ~ spl0_13
| spl0_12 ),
inference(avatar_split_clause,[],[f202,f190,f204]) ).
fof(f202,plain,
( ~ theorem(or(not(p),or(not(p),not(q))))
| spl0_12 ),
inference(forward_literal_rewriting,[],[f198,f29]) ).
fof(f198,plain,
( ~ theorem(or(or(not(p),not(q)),not(p)))
| spl0_12 ),
inference(resolution,[],[f192,f102]) ).
fof(f102,plain,
! [X10,X11,X9] :
( theorem(or(or(X11,X10),X9))
| ~ theorem(or(X9,X10)) ),
inference(resolution,[],[f90,f29]) ).
fof(f193,plain,
( ~ spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f188,f18,f190]) ).
fof(f188,plain,
( ~ theorem(or(or(q,not(p)),or(not(p),not(q))))
| spl0_1 ),
inference(forward_literal_rewriting,[],[f187,f29]) ).
fof(f187,plain,
( ~ theorem(or(or(not(p),not(q)),or(q,not(p))))
| spl0_1 ),
inference(forward_literal_rewriting,[],[f180,f92]) ).
fof(f180,plain,
( ~ theorem(or(or(not(p),not(q)),or(not(p),q)))
| spl0_1 ),
inference(resolution,[],[f164,f20]) ).
fof(f171,plain,
( ~ spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f166,f105,f168]) ).
fof(f105,plain,
( spl0_8
<=> theorem(or(not(q),not(not(or(not(p),q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f166,plain,
( ~ theorem(or(not(q),or(q,not(p))))
| spl0_8 ),
inference(forward_literal_rewriting,[],[f159,f92]) ).
fof(f159,plain,
( ~ theorem(or(not(q),or(not(p),q)))
| spl0_8 ),
inference(resolution,[],[f122,f107]) ).
fof(f107,plain,
( ~ theorem(or(not(q),not(not(or(not(p),q)))))
| spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f140,plain,
( ~ spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f134,f130,f137]) ).
fof(f137,plain,
( spl0_10
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f130,plain,
( spl0_9
<=> theorem(or(q,not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f134,plain,
( ~ theorem(q)
| spl0_9 ),
inference(resolution,[],[f132,f33]) ).
fof(f33,plain,
! [X6,X5] :
( theorem(or(X5,X6))
| ~ theorem(X5) ),
inference(resolution,[],[f29,f25]) ).
fof(f25,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f16,f22]) ).
fof(f132,plain,
( ~ theorem(or(q,not(p)))
| spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( ~ spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f128,f53,f130]) ).
fof(f53,plain,
( spl0_4
<=> theorem(not(not(or(not(p),q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f128,plain,
( ~ theorem(or(q,not(p)))
| spl0_4 ),
inference(forward_literal_rewriting,[],[f126,f29]) ).
fof(f126,plain,
( ~ theorem(or(not(p),q))
| spl0_4 ),
inference(resolution,[],[f123,f55]) ).
fof(f55,plain,
( ~ theorem(not(not(or(not(p),q))))
| spl0_4 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f108,plain,
( ~ spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f103,f18,f105]) ).
fof(f103,plain,
( ~ theorem(or(not(q),not(not(or(not(p),q)))))
| spl0_1 ),
inference(forward_literal_rewriting,[],[f98,f29]) ).
fof(f98,plain,
( ~ theorem(or(not(not(or(not(p),q))),not(q)))
| spl0_1 ),
inference(resolution,[],[f90,f20]) ).
fof(f73,plain,
( ~ spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f63,f58,f70]) ).
fof(f70,plain,
( spl0_7
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f58,plain,
( spl0_5
<=> theorem(or(not(p),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f63,plain,
( ~ theorem(not(q))
| spl0_5 ),
inference(resolution,[],[f60,f25]) ).
fof(f60,plain,
( ~ theorem(or(not(p),not(q)))
| spl0_5 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f68,plain,
( ~ spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f62,f58,f65]) ).
fof(f65,plain,
( spl0_6
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f62,plain,
( ~ theorem(not(p))
| spl0_5 ),
inference(resolution,[],[f60,f33]) ).
fof(f61,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f49,f18,f58]) ).
fof(f49,plain,
( ~ theorem(or(not(p),not(q)))
| spl0_1 ),
inference(resolution,[],[f20,f25]) ).
fof(f56,plain,
( ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f48,f18,f53]) ).
fof(f48,plain,
( ~ theorem(not(not(or(not(p),q))))
| spl0_1 ),
inference(resolution,[],[f20,f33]) ).
fof(f51,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f20,f40]) ).
fof(f40,plain,
( ! [X1] : theorem(X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_2
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f44,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f42,f39]) ).
fof(f42,plain,
( spl0_3
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f35,plain,
! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) ),
inference(resolution,[],[f33,f16]) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f18]) ).
fof(f10,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(p),not(q)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f9,axiom,
~ theorem(implies(not(implies(p,q)),implies(p,not(q)))),
file('/export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 05:38:21 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.5DlWKCDu8L/Vampire---4.8_6528
% 0.15/0.36 % (6676)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (6680)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42 % (6678)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.42 % (6677)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42 % (6683)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (6684)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (6679)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42 % (6681)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.47 % (6677)First to succeed.
% 0.21/0.47 % (6677)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.47 % (6677)------------------------------
% 0.21/0.47 % (6677)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (6677)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (6677)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (6677)Memory used [KB]: 5756
% 0.21/0.47 % (6677)Time elapsed: 0.054 s
% 0.21/0.47 % (6677)------------------------------
% 0.21/0.47 % (6677)------------------------------
% 0.21/0.47 % (6676)Success in time 0.113 s
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------